有限数学 示例

Solve Using a Matrix by Row Operations 9x-6Y+2Z=-3 , 5x-y+2=5 , y-4z=-2
, ,
解题步骤 1
Move variables to the left and constant terms to the right.
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解题步骤 1.1
移动
解题步骤 1.2
将所有不包含变量的项移到等式右边。
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解题步骤 1.2.1
从等式两边同时减去
解题步骤 1.2.2
中减去
解题步骤 2
Write the system as a matrix.
解题步骤 3
求行简化阶梯形矩阵。
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解题步骤 3.1
Multiply each element of by to make the entry at a .
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解题步骤 3.1.1
Multiply each element of by to make the entry at a .
解题步骤 3.1.2
化简
解题步骤 3.2
Multiply each element of by to make the entry at a .
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解题步骤 3.2.1
Multiply each element of by to make the entry at a .
解题步骤 3.2.2
化简
解题步骤 3.3
Perform the row operation to make the entry at a .
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解题步骤 3.3.1
Perform the row operation to make the entry at a .
解题步骤 3.3.2
化简
解题步骤 3.4
Perform the row operation to make the entry at a .
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解题步骤 3.4.1
Perform the row operation to make the entry at a .
解题步骤 3.4.2
化简
解题步骤 4
Use the result matrix to declare the final solution to the system of equations.
解题步骤 5
The solution is the set of ordered pairs that make the system true.